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Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving ((a+b coth2(c z))n)beta





http://functions.wolfram.com/01.22.21.0279.01









  


  










Input Form





Integrate[Coth[c z] Sqrt[(a + b Coth[c z]^2)^3], z] == -(2 Sqrt[(a + b Coth[c z]^2)^3] ((-(2 a + b)) Sqrt[-a + b + (a + b) Cosh[2 c z]] + 2 (a + b) Cosh[2 c z] Sqrt[-a + b + (a + b) Cosh[2 c z]] - 3 Sqrt[2] Log[Sqrt[-a + b + (a + b) Cosh[2 c z]] + Sqrt[2] Sqrt[(a + b) Sinh[c z]^2]] ((a + b) Sinh[c z]^2)^(3/2)))/ (3 c (-a + b + (a + b) Cosh[2 c z])^(3/2))










Standard Form





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MathML Form







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Rule Form





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2002-12-18





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